Implement fibonacci series in recursion & iteration. Also explain your understanding and justify whether recursion or iteration is better?(15 points)
iteration is better than recusrion.
Firstly recusrion require stack for temporary storage while in iteration no stack required.
Every recusrion algo can be converted into iteration algorithm but every iteration algorithm doesn't so.
Recusrion algorithm must have to store the address and also take more as compare to iterative algo.
So we can say iterative algorithm is efficient than recusrion algorithm.
Implement fibonacci series in recursion & iteration. Also explain your understanding and justify whether recursion or...
Question 2: Recursion versus Iteration [20 marks correctness] BLACK QUESTION (moderate collaboration allowed) my_pow(b, e) returns b to the power of e. count_digits(n) returns the number of digits in n, for example, 1234 => 4. sum_digits(n) returns the sum of all digits in n, for example, 1234 => 1 + 2 + 3 + 4 = 10. is_prime(n) returns true if n is prime, and false otherwise. The Sieve of Eratosthenes is a simple and easy to implement primality test....
Write a simple recursive program to demonstrate your understanding of the concept. What are the biggest benefits to creating a program or method that utilizes recursion in Java? In what scenario would it be appropriate to utilize a stack over a recursive implementation? Please provide an example to illustrate your points. In your answer, specifically think of and give a real-life scenario where: Recursion is used Recursion is preferred over iteration
For each problem, briefly explain/justify how you obtained your answer. This will help us determine your understanding of the problem whether or not you got the correct answer. Moreover, in the event of an incorrect answer, we can still try to give you partial credit based on the explanation you provide O Q. (10 points) Find an s-grammar for the language L (a"t n2 3) For each problem, briefly explain/justify how you obtained your answer. This will help us determine...
1. (10 pts) Determine whether the given series converges or diverges. Be sure to justify your answer. (similar to 10.6 #18) Ex=2(-1)" n2
Use the integral test to determine whether the series converges. Show all work to justify your answer. vands n=1 Select one: O A. diverges O B. converges
Determine whether the following series converge or diverge. Fully justify your answer. T(-1)"(n? – 2n) 400n3 + 78972 2
6. (14 pts.) Determine whether the infinite series 1-1/" to (7) You must justify your answer to receive is absolutely convergent, conditionally convergent, or divergent. credit.)
The questions for the calculusIII Instructions. Answer each question completely: justify your answers. This assignment is due at 5pm on Wednesday September 25 in Assignment Box #20. 1. Determine if the series given below are convergent. If convergent, calculate the sum of the series. If divergent, justify your answer. 1+23 2 32n n=1 (b) Žlcos(1) (1) § (12 + 3n+3) Suggestion: Use partial fractions. 2. Express this number as a ratio of integers: 2.46 = 2.46464646.. 3. The Fibonacci sequence...
Determine whether the following series converges. Justify your answer. 8 + cos 10k Σ k= 1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) 8+ cos 10k 9 O A. Because 9 E and, for any positive integer k, E converges, the given series converges by the Comparison Test. 8 k=1 00 OB. The Integral Test yields f(x) dx = so the series diverges by the Integral...
Determine whether the following series converges. Justify your answer. Σ 2 (k+5)3 k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. The series is a p-series with p= so the series converges by the properties of a p-series. OB. The series is a geometric series with common ratio so the series converges by the properties of a geometric series. OC. The series is a p-series with...